Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8758 and 8765 the smallest integer that is 76763870 that is divisible by both numbers.
Least Common Multiple (LCM) of 8758 and 8765 is 76763870.
LCM(8758,8765) = 76763870
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8758 and 8765. First we will calculate the prime factors of 8758 and 8765.
Prime Factorization of 8758
2 | 8758 |
29 | 4379 |
151 | 151 |
1 |
Prime factors of 8758 are 2, 29,151. Prime factorization of 8758 in exponential form is:
8758 = 21×291×1511
Prime Factorization of 8765
5 | 8765 |
1753 | 1753 |
1 |
Prime factors of 8765 are 5,1753. Prime factorization of 8765 in exponential form is:
8765 = 51×17531
Now multiplying the highest exponent prime factors to calculate the LCM of 8758 and 8765.
LCM(8758,8765) = 21×51×291×1511×17531
LCM(8758,8765) = 76763870
Factors of 8758
List of positive integer factors of 8758 that divides 8758 without a remainder.
1, 2, 29, 58, 151, 302, 4379, 8758
Factors of 8765
List of positive integer factors of 8765 that divides 8765 without a remainder.
1, 5, 1753, 8765
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8758 and 8765, than apply into the LCM equation.
GCF(8758,8765) = 1
LCM(8758,8765) = ( 8758 × 8765) / 1
LCM(8758,8765) = 76763870 / 1
LCM(8758,8765) = 76763870
(i) The LCM of 8765 and 8758 is associative
LCM of 8758 and 8765 = LCM of 8765 and 8758
1. What is the LCM of 8758 and 8765?
Answer: LCM of 8758 and 8765 is 76763870.
2. What are the Factors of 8758?
Answer: Factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758. There are 8 integers that are factors of 8758. The greatest factor of 8758 is 8758.
3. What are the Factors of 8765?
Answer: Factors of 8765 are 1, 5, 1753, 8765. There are 4 integers that are factors of 8765. The greatest factor of 8765 is 8765.
4. How to Find the LCM of 8758 and 8765?
Answer:
Least Common Multiple of 8758 and 8765 = 76763870
Step 1: Find the prime factorization of 8758
8758 = 2 x 29 x 151
Step 2: Find the prime factorization of 8765
8765 = 5 x 1753
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76763870 = 2 x 5 x 29 x 151 x 1753
Step 4: Therefore, the least common multiple of 8758 and 8765 is 76763870.